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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 27 Nov 2013 08:03:02 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/27/t1385557400oquuz4kh4n5sbam.htm/, Retrieved Mon, 29 Apr 2024 16:05:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=228989, Retrieved Mon, 29 Apr 2024 16:05:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2013-11-27 13:03:02] [f3f79c2d34893fd5bed45dfee56f0880] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
297295
295008
296917
298982
300562
294292
272817
274405
278601
283654
290770
290604
277466
274371
277686
282917
286692
285378
262433
266730
271980
277799
282329
285775
283495
279998
287224
296369
300653
302686
277891
277537
285383
292213
298522
300431
297584
286445
288576
293299
295881
292710
271993
267430
273963
273046
268347
264319
255765
246263
245098
246969
248333
247934
226839
225554
237085
237080
245039
248541
247105
243422
250643
254663
260993
258556
235372
246057
253353
255198
264176
269034
265861
269826
278506
292300
290726
289802
271311
274352
275216
276836
280408
280190

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228989&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228989&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228989&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1289492.259738.9930235952227745
2277629.6666666677692.300310089724259
3290200.1666666679410.6522026259125149
4281132.7512388.064828880533265
5242541.6666666679117.645403116430211
6253214.3333333339414.2813401509933662
7278777.8333333338478.0162648982226439

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 289492.25 & 9738.99302359522 & 27745 \tabularnewline
2 & 277629.666666667 & 7692.3003100897 & 24259 \tabularnewline
3 & 290200.166666667 & 9410.65220262591 & 25149 \tabularnewline
4 & 281132.75 & 12388.0648288805 & 33265 \tabularnewline
5 & 242541.666666667 & 9117.6454031164 & 30211 \tabularnewline
6 & 253214.333333333 & 9414.28134015099 & 33662 \tabularnewline
7 & 278777.833333333 & 8478.01626489822 & 26439 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228989&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]289492.25[/C][C]9738.99302359522[/C][C]27745[/C][/ROW]
[ROW][C]2[/C][C]277629.666666667[/C][C]7692.3003100897[/C][C]24259[/C][/ROW]
[ROW][C]3[/C][C]290200.166666667[/C][C]9410.65220262591[/C][C]25149[/C][/ROW]
[ROW][C]4[/C][C]281132.75[/C][C]12388.0648288805[/C][C]33265[/C][/ROW]
[ROW][C]5[/C][C]242541.666666667[/C][C]9117.6454031164[/C][C]30211[/C][/ROW]
[ROW][C]6[/C][C]253214.333333333[/C][C]9414.28134015099[/C][C]33662[/C][/ROW]
[ROW][C]7[/C][C]278777.833333333[/C][C]8478.01626489822[/C][C]26439[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228989&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228989&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1289492.259738.9930235952227745
2277629.6666666677692.300310089724259
3290200.1666666679410.6522026259125149
4281132.7512388.064828880533265
5242541.6666666679117.645403116430211
6253214.3333333339414.2813401509933662
7278777.8333333338478.0162648982226439






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6054.72219572389
beta0.0124710085422825
S.D.0.0353603705303504
T-STAT0.352683197467585
p-value0.738706202895666

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6054.72219572389 \tabularnewline
beta & 0.0124710085422825 \tabularnewline
S.D. & 0.0353603705303504 \tabularnewline
T-STAT & 0.352683197467585 \tabularnewline
p-value & 0.738706202895666 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228989&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6054.72219572389[/C][/ROW]
[ROW][C]beta[/C][C]0.0124710085422825[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0353603705303504[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.352683197467585[/C][/ROW]
[ROW][C]p-value[/C][C]0.738706202895666[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228989&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228989&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6054.72219572389
beta0.0124710085422825
S.D.0.0353603705303504
T-STAT0.352683197467585
p-value0.738706202895666






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.53639590586726
beta0.288360148879676
S.D.0.944917847931278
T-STAT0.305169544115382
p-value0.772532204075317
Lambda0.711639851120324

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.53639590586726 \tabularnewline
beta & 0.288360148879676 \tabularnewline
S.D. & 0.944917847931278 \tabularnewline
T-STAT & 0.305169544115382 \tabularnewline
p-value & 0.772532204075317 \tabularnewline
Lambda & 0.711639851120324 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228989&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.53639590586726[/C][/ROW]
[ROW][C]beta[/C][C]0.288360148879676[/C][/ROW]
[ROW][C]S.D.[/C][C]0.944917847931278[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.305169544115382[/C][/ROW]
[ROW][C]p-value[/C][C]0.772532204075317[/C][/ROW]
[ROW][C]Lambda[/C][C]0.711639851120324[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228989&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228989&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.53639590586726
beta0.288360148879676
S.D.0.944917847931278
T-STAT0.305169544115382
p-value0.772532204075317
Lambda0.711639851120324


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')